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Finding the Third Proportional to 170,006.25 and 352,297.50

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Solution

The third proportional to 170,006.25 and 352,297.50 is: 730,052.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,006.25 : 352,297.50 = 352,297.50 : x
  2. Step 2: Convert to fraction form
    170,006.25/352,297.50 = 352,297.50/x
  3. Step 3: Cross multiply
    170,006.25x = 352,297.50 × 352,297.50
  4. Step 4: Simplify right side
    170,006.25x = 124,113,528,506.25
  5. Step 5: Solve for x
    x = 124,113,528,506.25/170,006.25
  6. Step 6: Final answer
    x = 730,052.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.